{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PyDMD"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Tutorial 4: Compressed Dynamic Mode Decomposition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this tutorial we will show the analysis and the reconstruction of a generic system using the compressed dynamic mode decomposition (CDMD). As a reference please follow [this work](https://doi.org/10.1007/s11554-016-0655-2) by Erichson, Brunton and Kutz. In this variation of the original algorithm, the snapshots matrix is compressed through a premultiplication by a proper matrix, and then the compressed matrix is decomposed."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First of all we import the CDMD and the DMD classes from the pydmd package, we set matplotlib for the notebook, we import numpy and we import the time package for some future benchmarks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import time\n",
    "\n",
    "from pydmd import CDMD\n",
    "from pydmd import DMD"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we create an helper function that returns the input snapshots from a given spatial and temporal resolution.\n",
    "As in previous tutorials, the studied system is obtained from the sum of different functions:<br>\n",
    "- $f_1(x, t) = e^{\\frac{-x^2}{5}}\\,\\cos(4x)\\,e^{(2.3i)t}$\n",
    "- $f_2(x, t) = (1-e^{1-\\frac{x^2}{6}})e^{(1.3i)t}$\n",
    "- $f_3(x, t) = (-\\frac{x^2}{50} + 1)1.1i^{-2t}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def create_dataset(x_dim, t_dim):\n",
    "    def f1(x,t): \n",
    "        return np.exp(-x**2*.2)*np.cos(4*x)*np.exp(2.3j*t)\n",
    "\n",
    "    def f2(x,t):\n",
    "        return (1-np.exp(1-x**2/6)) * np.exp(1.3j*t)\n",
    "\n",
    "    def f3(x, t):\n",
    "        return (-.02*x**2 + 1) * (1.1j**(-2*t))\n",
    "\n",
    "    x = np.linspace(-5, 5, x_dim)\n",
    "    t = np.linspace(0, 4*np.pi, t_dim)\n",
    "\n",
    "    xgrid, tgrid = np.meshgrid(x,t)\n",
    "\n",
    "    X1 = f1(xgrid, tgrid)\n",
    "    X2 = f2(xgrid, tgrid)\n",
    "    X3 = f3(xgrid, tgrid)\n",
    "    return xgrid, tgrid, (X1 + X2 + X3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The plot below represents the dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6Hm0Q+1UMWGVTbibacVRu/l2iXc6tAb+j47p9txXbsUbj9xHj9eNu0o1o0J6w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ghibgcDd/puoEeqj9PAbz0sR7zebzOlyQVtuNrOYjuLeukGTBiHBbEQOC0fgyoXoeyPRD2v2qzW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105fdd850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xgrid, tgrid, X = create_dataset(256, 128)\n",
    "plt.figure(figsize=(7, 7))\n",
    "plt.pcolor(xgrid, tgrid, X.real)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to compress the dataset, we need to build the matrix that premultiplies the snapshots matrix. The class `CDMD` provides the following prebuilt matrices:\n",
    "- *normal*: a matrix with dimension (`nsnaps`, `ndim`) where the elements are randomly generated with normal distribution with mean equal to 0.0 and standard deviation equal to 1.0;\n",
    "- *uniform*: a matrix with dimension (`nsnaps`, `ndim`) where the elements are randomly generated with uniform distribution between 0 and 1;\n",
    "- *sparse*: a random sparse matrix with dimension (`nsnaps`, `ndim`);\n",
    "- *sample*: a matrix with dimension (`nsnaps`, `ndim`) where each row contains an element equal to 1 and all the other elements are null.\n",
    "\n",
    "It is sufficient to pass the right string when the new object is created to choose the matrix. Otherwise it is possible to use a custom matrix for the compression, as we show below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "snapshots_matrix = X.T\n",
    "random_matrix = np.random.permutation(snapshots_matrix.shape[0] * snapshots_matrix.shape[1])\n",
    "random_matrix = random_matrix.reshape(snapshots_matrix.shape[1], snapshots_matrix.shape[0])\n",
    "\n",
    "compression_matrix = random_matrix / np.linalg.norm(random_matrix)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We instantiate the `CDMD` matrix, passing as `compression_matrix` argument the matrix we created. The constructor is very similar to the `DMD` class, except to the compression matrix and the missing of the `exact` argument (in the compressed version, there is only one way to compute the modes). We plot the modes and the dynamics."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0s9oKaZu/qQPpD3eOM5vK84svXQeAz+vh3S/fxHQyx86x+QavTkSkOgqkIg1iB8pq9pAq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ZjE+bEXaUOnddS0fPGQHW+kvNF3C9NlDd3EmbQDOyYrFHDtC/D8XHjnTrj7M2GWFUAuzk/gz5+X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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109b75d90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cdmd = CDMD(svd_rank=3, compression_matrix=compression_matrix)\n",
    "cdmd.fit(snapshots_matrix)\n",
    "\n",
    "plt.figure(figsize=(16, 8))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(cdmd.modes.real)\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(cdmd.dynamics.T.real)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to investigate about the reconstruction accuracy, we compare the results obtained with the CDMD and the standard DMD, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "DMD error: 1.30651710102e-11\n",
      "CDMD error: 7.44066186383e-12\n"
     ]
    },
    {
     "data": {
      "image/png": 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UdCN6M/hokg3kVcB7AB/vehQuhBBCCCGE2AhZc4UQQgghhBBCrIqeiAohhBBCCCGEWBXd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4X/EvtlehL4J5RXuCYf/yXGG8uT78eJkPIHJonvPsab8wq0lP2WkntQ7kvq3zpv1lb9FnKZ74vF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\nNkUPokIIIYQQQgghNuX/B7c648rGDcUqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105fd0d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dmd = DMD(svd_rank=3, exact=True)\n",
    "dmd.fit(snapshots_matrix)\n",
    "\n",
    "dmd_error = np.linalg.norm(snapshots_matrix-dmd.reconstructed_data)\n",
    "cdmd_error = np.linalg.norm(snapshots_matrix-cdmd.reconstructed_data)\n",
    "print(\"DMD error: {}\".format(dmd_error))\n",
    "print(\"CDMD error: {}\".format(cdmd_error))\n",
    "\n",
    "plt.figure(figsize=(16,8))\n",
    "plt.subplot(1, 3, 1)\n",
    "plt.title('Original snapshots')\n",
    "plt.pcolor(xgrid, tgrid, snapshots_matrix.real.T)\n",
    "plt.subplot(1, 3, 2)\n",
    "plt.title('Reconstructed with DMD')\n",
    "plt.pcolor(xgrid, tgrid, dmd.reconstructed_data.real.T)\n",
    "plt.subplot(1, 3, 3)\n",
    "plt.title('Reconstructed with CDMD')\n",
    "plt.pcolor(xgrid, tgrid, cdmd.reconstructed_data.real.T)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The error using the compressed input is slightly greater, but the reconstruction looks very similar to the orignal input. So, why we need the compressed algorithm instead of the original one? The snapshots matrix without compression has dimension *ndim $\\times$ nsnapshots*, where *ndim* is the dimension of each snapshots and *nsnapshots* is the number of snapshots. The compressed snapshots matrix is instead a *nsnapshots $\\times$ nsnapshots* matrix; so, over a userful noise reduction due to the compression, this version allows a faster computation. Let's measure it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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du+H5563gfsAAmDzZtpcoAWedpQRMRAKVryTMez8EeBZICF1SvPe3FWZgIiJH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\nMDMzM7MSOAkzMzMzK8EvTj8rhBCDogkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109b75e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_dmd = []\n",
    "time_cdmd = []\n",
    "dim = []\n",
    "\n",
    "niter = 4\n",
    "ndims = 10 ** np.arange(2, 2+niter)\n",
    "nsnaps = [100] * niter\n",
    "for nsnap, ndim in zip(nsnaps, ndims):\n",
    "    snapshots_matrix = create_dataset(ndim, nsnap)[-1].T\n",
    "    dim.append(snapshots_matrix.shape[0])\n",
    "    random_matrix = np.random.permutation(snapshots_matrix.shape[0] * snapshots_matrix.shape[1])\n",
    "    random_matrix = random_matrix.reshape(snapshots_matrix.shape[1], snapshots_matrix.shape[0])\n",
    "\n",
    "    compression_matrix = random_matrix / np.linalg.norm(random_matrix)\n",
    "    \n",
    "    t0 = time.time()\n",
    "    DMD(svd_rank=-1, exact=True).fit(snapshots_matrix)\n",
    "    t1 = time.time()\n",
    "    time_dmd.append(t1-t0)\n",
    "    \n",
    "    t0 = time.time()\n",
    "    CDMD(svd_rank=-1, compression_matrix=compression_matrix).fit(snapshots_matrix)\n",
    "    t1 = time.time()\n",
    "    time_cdmd.append(t1-t0)\n",
    "\n",
    "plt.figure(figsize=(10,5))\n",
    "plt.plot(dim, time_dmd, 'ro--', label='exact dmd')\n",
    "plt.plot(dim, time_cdmd, 'bo--', label='compressed dmd')\n",
    "plt.legend()\n",
    "plt.ylabel('Seconds')\n",
    "plt.xlabel('Snapshots dimension')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The input compression, in this case, halves the computational time, with just a negligible quality loss. Try this technique with your biggest datasets and share with us your results! "
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [Root]",
   "language": "python",
   "name": "Python [Root]"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
